pecurkaste ploce

30
Metoda zamenjujućih okvira Metoda podrazumeva da ploča sa stubovima šini kontinualni okvir. U propisima mnogih zemalja Široka primena (metoda traka)

Upload: zeljko-milunovic

Post on 26-Nov-2015

255 views

Category:

Documents


2 download

DESCRIPTION

efgyyuy

TRANSCRIPT

  • Metoda zamenjujuih okvira

    Metoda podrazumeva da ploa sa stubovima ini kontinualni okvir. U propisima mnogih zemalja iroka primena (metoda traka)

  • Tipovi kapitela

    Manja optereenja Vea optereenja

  • Metoda zamenjujuih okvira

    Raunski rasponi i visine zamenjujueg okvira, krutost rigle

  • Raspodela momenta po trakama na irini polja Lx

  • Raspodela momenta po trakama na irini polja Lx DIN

  • Raspodela momenta po trakama na irini polja Lx BAB 87

  • Armiranje peurkastih ploa

  • Proraun na probijanjebez ili sa kapitelom

  • Poloaj armature za osiguranje od proboja

  • Kada je presek stuba pravougaonik, dimenzija b/d, onda se zamenjujui prenikkrunog preseka sraunava kao

    ds = 1.13bd

    Ako je d > 1.5b treba uzeti d=1.5b. Razlog za ovo je to se koncentracija smicanjadeava na uglovima, s jedne strane, a sa druge, na bonim stranama stuba veeduine ne vlada dvoosno stanje napona pa su doputeni naponi manji i taj deo sezanemaruje.

  • 1.7

    45.0

    41.7 43.3

    46.7

    48.1 46.3

    1.0

    36.4

    50.0

    74.7

    53.6

    -578.0

    13.8

    2.0

    57.6

    3.8

    34.4

    28.6

    2.2

    54.2

    77.1

    3.5

    1.11.4

    50.1

    6.0

    50.3

    1.5-568.3

    -614.0

    65.4

    49.0

    4.5

    38.8

    56.6

    43.2

    39.4

    26.04.0

    40.5

    13.1

    21.0

    37.7

    63.6

    3.3

    25.0

    -554.0

    -550.4

    53.2

    43.1

    17.1

    1.81.8

    2.6

    60.5

    1.2

    41.5

    29.7

    71.0

    4.2

    0.2

    2.0

    0.0

    0.0

    -68.2

    0.00.0

    -68.2

    -68.2

    0.0

    0.0 0.0

    0.0

    -68.2

    -68.

    2

    -136.4 0.0

    -136.4

    -68.2 -68.2 -68.2

    -136.4 -136.4 -136.4

    -68.

    2

    0.0 0.0

    0.0

    0.0 -204.7-136

    .4 -68.2

    0.0

    0.0

    -68.2

    -68.

    2

    -68.2

    -68.2 -68.2 -68.2 -68.2

    -136.4

    -68.2

    -136.4

    -136.4

    -136.4 -136.4-136.4

    -204.7

    -136.4-68.2

    -204.7 -20

    4.7

    -68.2-204.7

    0.0

    0.0

    -272

    .9

    0.0

    0.0

    -68.2

    -68.2

    -68.2 -68.2

    -68.2 -68.2

    -136.4 -136

    .4 -136.4

    -136.4-136.4

    -68.2

    -136.4-68.2

    -68.2

    0.0

    0.0

    -68.2

    -68.2

    -68.2

    0.0

    -68.20.0

    0.0

    0.0

    0.0

    0.0

    -68.2 -68.2 -68

    .2-68

    .2-68.2

    -409.3

    -204.7

    -204.7-409.3

    -204.7

    -204.7

    -409.3

    -204.7

    -341.1 -204.7-409.3

    -204.7

    -272.9

    -409.3-204.7

    -272.9

    -204.7

    -204.7-409.3

    -272.9-136.4

    -545.7

    -272.9 -272.9-136.4

    A

    8

    .

    0

    0

    B

    8

    .

    0

    0

    C

    8

    .

    0

    0

    D

    8

    .

    0

    0

    E

    8

    .

    0

    0

    F

    8

    .

    0

    0

    G

    8

    .

    0

    0

    H

    8

    .

    0

    0

    I

    1 2.00

    2

    6.00

    3

    8.00

    4

    8.00

    5

    8.00

    6

    6.30

    7

    -461.8

    -379.1

    -66.9

    63.8

    -57.4

    43.3

    29.3

    -454.9

    -450.2

    -400.7

    -98.2

    -75.4

    44.8

    41.9

    40.4

    32.4

    -479.7

    -405.2

    -386.8

    -174.1

    -113.3

    53.2

    51.2

    39.4

    34.3

    -32.1

    28.4

    -465.8

    -399.0

    -379.7

    -133.5

    -70.0

    50.0

    -46.4

    43.0

    41.0

    25.2

    25.0

    -550.4

    -531.5

    -424.3

    -125.2

    -76.5

    60.3

    50.3

    43.5

    43.2

    -614.0

    -554.0

    -495.0

    -128.5

    -78.8

    63.6

    49.4

    49.0

    43.2

    -568.3

    -479.7

    -428.0

    -282.5

    -97.2

    -81.4

    65.4

    59.3

    57.1

    33.8

    Opt. 4: 1.6xI+1.8xII

    Uticaji u ploi: m

    ax My= 77.1 / m

    in My= -614.0 kN

    m/m

    Nivo: [5.76 m

    ]

  • 11.7

    11.7

    0.0

    0.0

    1.2

    2 .3

    3.5 3

    .52.

    31.

    20.

    0

    0.0

    1.2

    0.0

    1.2

    2.3

    2.3

    1.2

    0.0

    0 .0

    1.2

    2.3

    0.0

    1.2

    0.0

    1.2

    2.3

    1.2

    0 .0

    0.0

    2.3

    2.3

    3.5

    3.5

    3.5

    4.7

    2.3

    4.7

    3.5

    5.9

    4.7

    3.5

    7.1

    0.0

    5.9

    0.0 5.9

    0.0

    0.0

    0.07.1

    0.0

    0.0

    8.2

    3.5

    4.7

    5.9

    7.1 9.

    4

    0.0

    0.0

    4.7

    5.9

    7.1

    8.2 4.

    7

    5.9

    0 .0

    0.0

    0.01.2

    0.0

    1.2

    1.2

    0.0

    0.0

    1.2

    0.0

    0.0

    0.0

    1.2

    2.3

    2.3

    0.02.3

    0.0 0.0

    3.5

    0.0

    7.1

    3.5

    4.7

    0.0

    5.9

    3

    .

    5

    7.1

    5.9

    8.2

    9.40.0 0.0 0.0 0.0

    0.0

    0.0 0.0

    0.0

    0.0

    8.2

    0.0 0.0

    0.0

    1.2

    0.0

    1.2

    2.3

    3.5

    4.7

    5.9

    7.1

    8.2 9.4

    0.0

    1.2

    0.0

    2.3

    2.3

    9.4

    3.5

    3.5

    7.1

    0.04

    .

    7

    0.0 0.0 0.0

    0.0

    0.0

    0.0 0.0

    0.0

    1.2

    2.3

    5.9

    3.5

    0.0

    0.0

    1.2

    0.0

    2.3

    3.5

    4.7

    0.0

    0.0

    0.0

    0

    .

    0

    1.2

    1.2

    1.2 0.0

    0.0

    0.0

    2.3

    1.2

    0.0

    0.0

    1.2

    1.2 0.

    0

    1.2

    1.2 1.2

    2.3

    0.0

    2.3

    2.32.3

    3.51.2

    0 .0

    3.5 0.

    0

    1.20.0 0.0

    1.2

    0.0

    0.0

    0.0

    0.0

    0 .0

    0.0

    0 .0

    0.0

    0.0 0.0

    0.0

    0.00.0

    0.0

    0.0

    0

    .

    0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    A

    8

    .

    0

    0

    B

    8

    .

    0

    0

    C

    8

    .

    0

    0

    D

    8

    .

    0

    0

    E

    8

    .

    0

    0

    F

    8

    .

    0

    0

    G

    8

    .

    0

    0

    H

    8

    .

    0

    0

    I

    1 2.00

    2

    6.00

    3

    8.00

    4

    8.00

    5

    8.00

    6

    6.30

    7

    7

    .

    7

    6

    .

    2

    5

    .

    6

    5

    .

    4

    4

    .

    7

    2

    .

    2

    8

    .

    1

    7

    .

    0

    4

    .

    6

    4

    .

    5

    0

    .

    7

    4

    .

    7

    9

    .

    6

    9

    .

    5

    4

    .

    4

    4

    .

    4

    1

    .

    4

    1

    .

    2

    2

    .

    5

    6

    .

    1

    Merodavno optereenje: 1.60xI+1.80xII

    PBAB 87, M

    B 30, R

    A 400/500, a=2.00 cm

    Aa - d.zona - Pravac 1 - m

    ax Aa1,d= 11.7 cm2/m

    Nivo: [5.76 m

    ]

  • -30.5

    -31.2

    -31.8

    -29.1

    -29.4

    -30.6

    -0.0

    -0.0-3

    .2

    -0.0

    -0.0

    -0.0

    -6.4

    - 0.0

    -0.0

    -3.2

    -6.4

    -0.0

    -0.0

    -6.4

    -

    3

    .

    2

    -3.2

    -0.0

    -0.0

    -0.0

    -6.4

    -6.4

    -3.2

    -3.2

    -3.2

    -3.2

    -9.6

    -6.4

    -9.6

    -6.4

    -9.6

    -6.4

    -15.9-9

    .6

    -6.4

    -15.9

    -3.2

    -9.6

    -6.4 -9.6

    -3.2

    -0.0

    -15.9 -12.7

    -0.0

    -9.6 -3

    .2

    -6.4

    -0.0

    -3.2

    -0.0

    -0.0

    -0.0

    -3.2 -12.7

    -9.6

    -0.0

    -9.6-3.

    2 -3.2 -9.6

    -12.7

    -3.2

    -12.

    7-0.0

    -3.2

    -3.2 -3.2

    -3.2 - 3.2

    -6.4

    -3.2

    -0.0 -3

    .2

    -9.6

    -6.4

    -12.

    7

    -9.6

    -6.4

    -6.4

    -9.6

    -6.4

    -9.6

    -6.4

    -9.6 -0.0

    -9.6

    -6.4

    -6.4

    -3.2

    -9.6 -0.0-

    3.2

    -0.0

    -6.4

    -12.

    7 -9.6

    -9.6

    -12.

    7

    -9.6

    -0.0

    -19.

    1

    -12.

    7

    -

    0

    .

    0

    -3.2 -6.4

    -0.0-22.3 -15.

    9 -19.1 -19.1 -19.1

    -3.2

    -6.4

    -3.2

    -3.2

    -6.4

    -3.2

    -3.2

    -6.4

    -3.2

    -15.9

    -12.

    7

    -9.6

    -9.6

    -6.4

    -9.6

    -6.4

    -15.9 -9.6

    -6.4

    -19.1

    -9.6

    -9.6

    -6.4

    -3.2

    -12.

    7

    -12.

    7

    -12.

    7

    - 12.

    7 -6.4

    -9.6

    -3.2 -

    6.4

    -3.2-3.2 -6.4 -3.2

    -6.4 -3

    .2 -0.0

    -0.0

    -0.0-6.4

    -6. 4

    -3.2

    -3.2 -0

    .0

    -0.0

    -0.0

    -0.0

    -0.0

    -0.0

    -0.0

    -3.2 -3.2

    -3.2 -3.2

    -3.2-6

    .4

    -6.4

    -6.4

    -9.6

    -9.6

    -6.4 -12.7-22.

    3

    -6.4

    -9.6

    -15.

    9-1

    2.7

    -6.4

    -12.

    7-1

    9.1

    -6.4

    -9.6-1

    5.9

    -3.2

    -6.4 -15.9

    -6.4 -1

    2.7

    -3.2

    -12.

    7-9.6 -9.6-1

    5.9

    -6.4

    -9.6

    -12.7

    -3.2

    -6.4

    -12.

    7- 1

    9 .1

    -6.4 -12

    .7-1

    9.1

    -9.6

    -15.

    9

    -6.4

    -9.6

    -15 .

    9

    -12.

    7-1

    9.1

    -6.4

    -9.6

    -15.

    9-6

    .4

    -12.

    7-6.4

    -3.2

    -15.

    9

    -12.

    7

    -6.4

    -9.6

    -15.

    9 -9.6-12.

    7

    -9.6

    A

    8

    .

    0

    0

    B

    8

    .

    0

    0

    C

    8

    .

    0

    0

    D

    8

    .

    0

    0

    E

    8

    .

    0

    0

    F

    8

    .

    0

    0

    G

    8

    .

    0

    0

    H

    8

    .

    0

    0

    I

    1 2.00

    2

    6.00

    3

    8.00

    4

    8.00

    5

    8.00

    6

    6.30

    7

    -

    2

    5

    .

    8

    -

    2

    2

    .

    5

    -

    2

    2

    .

    0

    -

    1

    9

    .

    5

    -

    1

    7

    .

    7

    -

    9

    .

    8

    -

    7

    .

    6

    -

    2

    7

    .

    7

    -

    2

    3

    .

    5

    -

    2

    2

    .

    6

    -

    1

    9

    .

    6

    -

    1

    8

    .

    9

    -

    5

    .

    6

    -

    4

    .

    8

    -

    1

    9

    .

    9

    -

    8

    .

    8

    -

    3

    .

    3

    -

    2

    1

    .

    9

    -

    2

    2

    .

    1

    -

    4

    .

    1

    -

    4

    .

    1

    -

    2

    8

    .

    4

    -

    2

    0

    .

    9

    -

    2

    0

    .

    0

    -

    1

    9

    .

    9

    -

    1

    4

    .

    2

    -

    1

    0

    .

    4

    -

    2

    .

    3

    -

    1

    .

    9

    -

    5

    .

    5

    -

    4

    .

    1

    -

    4

    .

    0

    Merodavno optereenje: 1.60xI+1.80xII

    PBAB 87, M

    B 30, R

    A 400/500, a=2.00 cm

    Aa - g.zona - Pravac 1 - max Aa1,g= -31.8 cm

    2/m N

    ivo: [5.76 m]

  • 9.9

    10.29.4

    0.0

    0.0

    1.0

    0.0

    0.00.0

    2.03.1

    0.0

    1.0

    0.0

    4.1

    1.0

    4.1

    5.1 3.1 2.0

    0.0

    0.0

    0.0

    0.0

    0.00.0 0.0

    0.0

    0.0

    0.0 0.0

    1.0

    0.0

    2.0 3.1

    0.0 0.00.0

    0.0

    0.0

    0.0

    0.0 0.0

    4.1 5.1 6.14.1

    5.16.1 4.1

    7.28.2

    7.2

    0.0

    0.0 0.0 0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0 0.0

    0.0

    0.0

    0.0

    1.0

    0.0

    0.02.0

    3.14.15.16

    .17.28

    .24.1

    4.1

    4.19.2

    5.1 5.1 5.1

    0.0

    0.0 0.0 0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    0.0

    1.0

    2.03.1 4.1

    5.1

    4.15.16.1

    7.28.2

    9.2

    6.1

    9.2

    7.2

    0.0

    0.0 0.0

    0.01.02.0 3.1

    4.15.1

    6.1 6.1 6.1

    2.00.01.0 0.0 0

    .04.

    1

    0.0

    0.0

    0.0 0.0

    0.0

    0.0

    0.00.0

    0.0

    0.0

    0 .0

    0.0

    0.0 0.0

    0.0

    0.0

    0.00.0

    0.0

    0.0

    0.0

    0.0 0.0

    0.0

    0.0 0.00.0

    A

    8

    .

    0

    0

    B

    8

    .

    0

    0

    C

    8

    .

    0

    0

    D

    8

    .

    0

    0

    E

    8

    .

    0

    0

    F

    8

    .

    0

    0

    G

    8

    .

    0

    0

    H

    8

    .

    0

    0

    I

    1 2.00

    2

    6.00

    3

    8.00

    4

    8.00

    5

    8.00

    6

    6.30

    7

    8.4

    5.6

    3.8

    5.6

    5.4

    5.3

    4.7

    7.0

    6.7

    5.1

    4.4

    3.7

    6.5

    5.6

    5.3

    3.2

    3.2

    7.9

    6.6

    5.7

    5.6

    8.4

    6.4

    6.4

    5.6

    5.0

    0.8

    6.7

    2.7

    8.6

    7.8

    7.5

    4.4

    Merodavno optereenje: 1.60xI+1.80xII

    PBAB 87, M

    B 30, R

    A 400/500, a=2.00 cm

    Aa - d.zona - Pravac 2 - max Aa2,d= 10.2 cm

    2/m N

    ivo: [5.76 m]

  • -42.0

    -43.7

    -4.40.0

    0.0

    -4.4-8.

    7

    0.0 0.0-4.4

    -4.4

    -4.4

    0.0

    0.00.0

    0.0

    -4.4 -4.4

    -4.4-8.7

    -4.4

    -4.4

    -4.4 -8.7

    -8.7

    -13.1

    0.0 -8.7 -8.7

    -13.1

    -8.7

    -13.

    1

    -13.

    1

    -8.7

    -4.4

    -8.7

    -4.4

    0.0

    -4.4 -4.4

    -4.4

    0.0

    -8.7

    0.0

    0.0

    -4.4

    -26.

    2

    -8.70.0

    -4.4

    -4.4-4.4

    -8.7-4.4

    -8.7

    -13.1-4.4

    -8.7

    -4.4

    -8.7

    -13.1

    -13.

    1

    -13.1

    -8.7

    -13.1

    -8.7

    -4.4-8.7

    -13.

    1

    -13.

    1

    -26.

    2

    -17.5

    -21.9 -17.

    5 -17.5 -17.

    5

    -26.

    2 -26.2

    -17.5

    -39.

    3

    -21.9

    -4.4

    -8.7-8.7

    -13.1

    0.0

    -30.6-13.1

    0.0

    0.0

    -4.4 -4.4

    -4.4

    -4.4

    -4.4

    -13.1

    -8.7 -8.7

    -13.1

    -8.7

    -4.4

    -8.7 -8.7

    -13.1

    -8.7

    -21.

    9

    -13.1

    -21.

    9

    -17.

    5

    -13.

    1

    -17.

    5

    -17.

    5

    -13.1

    -17.

    5

    -13.1

    -17.

    5

    -13.

    1 -4.4

    -8.7 -8.7

    0.0

    0.0

    -13.1

    0.0

    -4.4

    -4.4-4.4

    -4.4-8.7

    0.0

    -8.7 -13.1 -13.1 -13.1 -13.1

    0.0

    0.0

    0.0-4.4

    0.00.0 0.0

    -4.4-4.4 -4

    .4

    -4.4

    -13.1

    -17.5

    -8.7

    -17.5

    -8.7

    -17.5

    -8.7

    -17.5

    -8.7-17

    .5

    -8.7

    -13.1

    -4.4

    -4.4

    -17.5-13.1

    -4.4

    -8.7

    -13.1

    -8.7-4.4

    -17.5

    -13.1

    -21.9-13.1-17.5

    -4.4 -4.4

    -8.7

    -13.1

    -8.7

    -4.4

    -17.5

    -4.4

    -13.1-17.5

    -4.4

    -8.7-17.5

    -4.4

    -4.4

    -8.7

    -13.1-26.

    2

    -4.4-8.7

    -13.1

    -4.4

    -13.1-17.5

    -4.4-4.4

    A

    8

    .

    0

    0

    B

    8

    .

    0

    0

    C

    8

    .

    0

    0

    D

    8

    .

    0

    0

    E

    8

    .

    0

    0

    F

    8

    .

    0

    0

    G

    8

    .

    0

    0

    H

    8

    .

    0

    0

    I

    1 2.00

    2

    6.00

    3

    8.00

    4

    8.00

    5

    8.00

    6

    6.30

    7

    -24.7

    -19.4

    -8.0

    -7.3

    -24.6

    -24.6

    -24.3

    -10.8

    -10.7

    -25.5

    -20.9

    -20.3

    -20.1

    -14.5

    -3.9

    -24.2

    -21.0

    -19.9

    -15.0

    -8.8

    -5.6

    -27.0

    -23.3

    -20.4

    -14.0

    -10.2

    -30.0

    -24.1

    -23.7

    -14.4

    -10.6

    -7.6

    -5.2 -5.4

    -5.1

    -0.8 -28.3

    -27.5

    -25.0

    -22.7

    -13.1

    Merodavno optereenje: 1.60xI+1.80xII

    PBAB 87, M

    B 30, R

    A 400/500, a=2.00 cm

    Aa - g.zona - Pravac 2 - m

    ax Aa2,g= -43.7 cm2/m

    Nivo: [5.76 m

    ]

  • POS 1

    02-2

    d = 0

    .50 m

    POS 1

    01

    d = 0

    .50 m

    POS 1

    02-1

    d = 0

    .50 m

    POS 1

    03

    d = 0

    .50 m

    POS 1

    04

    d = 0

    .50 m

    POS 1

    08

    d = 0

    .50 m

    POS 1

    10

    d = 0

    .50 m

    POS 1

    11

    d = 0

    .50 m

    POS 1

    12

    d = 0

    .50 m

    POS 1

    13

    d = 0

    .50 m

    POS 1

    14

    d = 0

    .50 m

    POS 1

    16

    d = 0

    .50 m

    POS 1

    17

    d = 0

    .50 m

    POS 1

    18

    d = 0

    .50 m

    POS 1

    19

    d = 0

    .50 m

    POS 1

    20

    d = 0

    .50 m

    POS 1

    21

    d = 0

    .50 m

    POS 10

    7

    d = 0.5

    0 m

    POS 11

    5

    d = 0.2

    2 m

    POS 1

    06

    d = 0

    .50 mPOS

    105

    d = 0.5

    0 m

    -9.8

    0.4

    0.3

    0.7

    0.2

    0.2

    0.3

    0.2

    0.1

    0.3

    0.6

    -1.1

    -2.2

    -1.1

    -1.1-1.1

    0.0

    -1.1

    -2.2 -1

    .1

    -2.2

    -2.2

    -2.2

    -2.2

    -3.3

    0.0

    -3.3

    -3.3

    -4.4

    -1.1

    -1.1

    -5.4

    0.0

    -4.4

    -2.2

    -1.1

    -3.3 -6.5

    -5.4 -3.3-5.4

    -5.4

    -6.5

    -6.5

    -6.5 -7.6

    -3.3

    0.0

    -1.1

    -1.1

    -1.1 -2.2

    -1.1

    0.0

    -5.4

    -4.4

    -5.4

    -1.1

    -2.2

    -2.2

    -6.5-3.3

    -7.6

    -5.4

    -8.7

    -3.3

    -3.3 -6

    .5

    -3.3

    -1.1-2.2

    -1.1

    -1.1

    0.0

    -1.1

    -3.3

    -4.4

    -5.4

    -5.4

    -5.4-6.5

    -1.1

    -4.4-5.4

    -6.5-4.4-7

    .6 -4.4

    -4.4

    -4.4 -4.4

    -3.3-3.3

    -2.2 -2.2-2.2-1.1

    -1.1-1.1-1.1

    -1.1

    b/d=50/80G 103

    b/d=

    40/5

    0

    G 10

    9

    b/d=40/50G 104

    b/d=40/50

    G 108

    b/d=40/50G 101

    b

    /

    d

    =

    4

    0

    /

    5

    0

    G

    1

    0

    6

    b

    /

    d

    =

    4

    0

    /

    5

    0

    G

    1

    0

    7

    b/d=40/50G 102

    A

    8

    .

    0

    0

    B

    8

    .

    0

    0

    C

    8

    .

    0

    0

    D

    8

    .

    0

    0

    E

    8

    .

    0

    0

    F

    8

    .

    0

    0

    G

    8

    .

    0

    0

    H

    8

    .

    0

    0

    I

    1 2.00

    2

    6.00

    3

    8.00

    4

    8.00

    5

    8.00

    6

    6.30

    7

    Opt. 3: I+II, R

    elativno pomeranje ploce (bez skraenja vertikalnih elem

    enata i sleganja tla)

    Uticaji u ploi: m

    ax Zp= 0.7 / min Zp= -9.8 m

    / 1000 N

    ivo: [5.76 m]

    Metoda zamenjujuih okviraTipovi kapitelaArmiranje peurkastih ploaProraun na probijanjebez ili sa kapitelomPoloaj armature za osiguranje od proboja